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Algebraic Structures In Automata And Database Theory

By: B I Plotkin, L Ja Greenglaz, A A Gvaramija

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Hardcover | 1 December 1992

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Hardcover
296 Pages

Dimensions(cm)
22.86 x 16.51 x 1.91

Hardcover

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This book is devoted to the investigation of algebraic structure. The emphasis is on the algebraic nature of real automation, which appears as a natural three-sorted algebraic structure, that allows for a rich algebraic theory. Based on a general category position, fuzzy and stochastic automata are defined. The final chapter is devoted to a database automata model. Database is defined as an algebraic structure and this allows us to consider theoretical problems of databases. Almost all the material is new.

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You Can Find This Book In

Non-Fiction Computing & I.T.Computer Science Mathematical Theory of Computation Mathematics Applied Mathematics Algebra Mathematical Foundation Mathematical Logic Booktopia Publisher Services World Scientific Publishing

Preface
Preliminaries	p. 1
1. Sets	p. 1
2. [Omega]-algebras	p. 2
3. Main structures	p. 4
4. Representations	p. 7
5. Categories	p. 9
Pure Automata	p. 11
Basic concepts	p. 11
Universal automata	p. 27
Moore automata	p. 36
Free pure automata	p. 49
Generalizations	p. 55
Constructions and Decomposition of Pure Automata	p. 73
Constructions	p. 74
Decomposition of finite pure automata	p. 89
Linear Automata	p. 105
Basic concepts	p. 105
Constructions. Decomposition of automata	p. 120
Automorphisms of linear automata and biautomata	p. 146
Varieties of Automata	p. 155
Identities of pure automata	p. 155
Varieties of pure automata	p. 166
Identities of linear automata and biautomata	p. 179
Varieties of biautomata	p. 191
Quasivarieties of automata	p. 216
Automata Model of Database	p. 237
*-automata	p. 237
Database scheme, Halmos algebras	p. 241
Database model	p. 247
Homomorphisms of databases	p. 251
Constructive databases	p. 255
Constructions in database theory	p. 263
Bibliography	p. 269
Index	p. 277
Table of Contents provided by Blackwell. All Rights Reserved.

Algebraic Structures In Automata And Database Theory

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Hardcover

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